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Finding the Fourth Proportional to 24,583.60, 33,916.62 and 14,507

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Solution

The fourth proportional to 24,583.60, 33,916.62 and 14,507 is: 20,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,583.60 : 33,916.62 = 14,507 : x
  2. Step 2: Convert to fraction form
    24,583.60/33,916.62 = 14,507/x
  3. Step 3: Cross multiply
    24,583.60x = 33,916.62 × 14,507
  4. Step 4: Simplify right side
    24,583.60x = 492,028,406.34
  5. Step 5: Solve for x
    x = 492,028,406.34/24,583.60
  6. Step 6: Final answer
    x = 20,014.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.